Let’s solve each problem step by step. Remember: when converting area units, we’re dealing with squares — so the conversion factor is squared too!
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Key conversions to remember:
- 1 cm = 10 mm → so
1 cm² = 10 × 10 = 100 mm²
- 1 m = 100 cm → so
1 m² = 100 × 100 = 10,000 cm²
- 1 km = 1000 m → so
1 km² = 1000 × 1000 = 1,000,000 m²
We’ll use these to convert each value.
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a) 5 cm² = ? mm²
→ Multiply by 100 (since 1 cm² = 100 mm²)
5 × 100 =
500 mm²
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b) 0.2 cm² = ? mm²
→ Multiply by 100
0.2 × 100 =
20 mm²
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c) 1.4 cm² = ? mm²
→ Multiply by 100
1.4 × 100 =
140 mm²
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d) 6000 mm² = ? cm²
→ Divide by 100 (since 100 mm² = 1 cm²)
6000 ÷ 100 =
60 cm²
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e) 2.3 m² = ? cm²
→ Multiply by 10,000 (since 1 m² = 10,000 cm²)
2.3 × 10,000 =
23,000 cm²
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f) 0.007 m² = ? cm²
→ Multiply by 10,000
0.007 × 10,000 =
70 cm²
*(Check: 0.007 × 10,000 = 7 × 10 = 70 — yes!)*
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g) 3 km² = ? m²
→ Multiply by 1,000,000 (since 1 km² = 1,000,000 m²)
3 × 1,000,000 =
3,000,000 m²
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h) 450,000 m² = ? km²
→ Divide by 1,000,000
450,000 ÷ 1,000,000 =
0.45 km²
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i) 3200 cm² = ? m²
→ Divide by 10,000 (since 10,000 cm² = 1 m²)
3200 ÷ 10,000 =
0.32 m²
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✔ All answers checked and verified.
Final Answer:
a) 500
b) 20
c) 140
d) 60
e) 23000
f) 70
g) 3000000
h) 0.45
i) 0.32
Parent Tip: Review the logic above to help your child master the concept of units worksheet.
